I wanted to use this template to create my own CV, and while it worked perfectly fine with English, I never managed to compile it properly using Cyrillic font. The text I typed in Ukrainian appeared blank without giving an error.

I tried to fix this by adding \usepackage[english,ukrainian]{babel} in the preamble of the document, which didn't work.

Do you actually use a cyrillic font package? Which one? Do you use utf8 font encoding? Do you use pdfLaTeX or XeLaTeX or LuaLaTeX? Perhaps shows some code, and the .log file as attachment. You can post attachments here, the Attachments link is below the text edit field, when writing a post.